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A200642
Decimal expansion of least x>0 satisfying 4*x^2+5=tan(x).
1
1, 4, 9, 9, 4, 5, 5, 6, 9, 7, 1, 2, 8, 7, 3, 0, 9, 7, 4, 2, 7, 9, 9, 3, 6, 4, 0, 4, 3, 1, 7, 2, 1, 6, 3, 6, 5, 2, 6, 3, 3, 8, 1, 8, 9, 4, 6, 1, 2, 9, 8, 9, 5, 2, 4, 8, 6, 0, 5, 6, 6, 9, 2, 5, 8, 1, 6, 9, 7, 5, 3, 9, 3, 4, 7, 5, 7, 0, 1, 9, 7, 8, 8, 1, 3, 5, 4, 5, 0, 3, 1, 3, 3, 4, 4, 2, 7, 6, 8
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4994556971287309742799364043172163652633818946...
MATHEMATICA
a = 4; c = -5;
f[x_] := a*x^2 - c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200642 *)
CROSSREFS
Cf. A200338.
Sequence in context: A359187 A203140 A011512 * A209674 A364821 A157300
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 20 2011
STATUS
approved